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What is the Least Common Multiple of 94290 and 94307?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 94290 and 94307 is 8892207030.

LCM(94290,94307) = 8892207030

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Least Common Multiple of 94290 and 94307 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94290 and 94307, than apply into the LCM equation.

GCF(94290,94307) = 1
LCM(94290,94307) = ( 94290 × 94307) / 1
LCM(94290,94307) = 8892207030 / 1
LCM(94290,94307) = 8892207030

Least Common Multiple (LCM) of 94290 and 94307 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94290 and 94307. First we will calculate the prime factors of 94290 and 94307.

Prime Factorization of 94290

Prime factors of 94290 are 2, 3, 5, 7, 449. Prime factorization of 94290 in exponential form is:

94290 = 21 × 31 × 51 × 71 × 4491

Prime Factorization of 94307

Prime factors of 94307 are 94307. Prime factorization of 94307 in exponential form is:

94307 = 943071

Now multiplying the highest exponent prime factors to calculate the LCM of 94290 and 94307.

LCM(94290,94307) = 21 × 31 × 51 × 71 × 4491 × 943071
LCM(94290,94307) = 8892207030